Mathematics at the University of Virginia

This review guide covers algebra topics for the general exam, organized by major areas.

Chapter 1: Groups
Chapter 2: Rings
Chapter 3: Modules and Canonical Forms
- 3.1 Modules
- 3.2 Rational and Jordan Canonical Form
Chapter 4: Multilinear Algebra
- 4.1 Dual Spaces and Bilinear Forms
- 4.2 Tensor Products over Commutative Rings
Chapter 5: Fields

Graduate program